Friday, June 08, 2007
Should you walk the bases loaded in a tie game in the ninth inning?
Craig Burley at Batter’s Box was asking about intentionally walking the bases loaded in the 9th inning of a tie game.
Here’s the situation:
It’s the bottom of the 9th in Toronto, tie game, one out, Matt Stairs is on 2nd base. Based on the charts I provided Fangraphs, the win probability is .706. Based on one of my old charts, it’s .703. (All numbers presume average hitters coming up.)
Frank Thomas was IBB, so now we have runners on 1B and 2B. The only runner we care about is the guy on 2B, since if he scores, the game is over. Putting Thomas on 1B means you can now get a DP. The win probability however has now increased to .716 or .711, depending on the chart you select. So, it seems that the extra hope for the DP is balanced against the other things that can happen when you have guys on 1B and 2B.
However, let me interject something. When I create those charts, I presume everything is average, including an average game state. On average, you need to hold the runner on 1B, and leaving the hole open. But in this case, we don’t care about the runner on 1B, unless we really need to keep him close for the DP. But this is Frank Thomas. I don’t know how the Rays fielders were playing. When I apply the event-frequency and state-to-state transitions, I don’t have a separate one for 9th inning, tie game (though I definitely should). So, these numbers are rough approximations, which makes presumptions that may not apply here.
As well, if Thomas is a better hitter than the next guy, it would make this play more acceptable. The next hitter however was Troy Glaus. He’s at least as good, and likely better. So, that doesn’t really help.
Now the fun part. You have a passed ball, putting runners on 2B and 3B. The data I gave Fangraphs now says .850, while the other chart says .839. What happens if you load the bases? Incredibly, the win probability DROPPED to either .838 or .835. What happens here is that you’ve now got a force set up at every base.
Again, remember my interjection. The events and their frequency for bases loaded, based on my charts, does not take into account the inning/score. This means that how the Rays (or any teams) defenses this situation (bases loaded, tie game, bottom of the 9th) will be different than in other situations (say loaded, down by 4, top of the 3rd), and therefore, the frequency of possible events, and their subsequent state-to-state transitions, will also be different.
The subsequent batter (Aaron Hill) is likely a worse hitter than Glaus, which makes the IBB a bit more appealing. Of course, you’d want to also use the knowledge of whether a batter is a GB or FB hitter.
When I get home, I’ll check what Andy’s IBB chart says in The Book for these two situations.
While I normally caution against using sample data (you need one MILLION plays to get it reliable to the third decimal place), in this case, because of my stated presumptions, it might give us a bit of insight. We can use this win probability finder, to see what has happened historically:
Runner on 2B: .704 wins (on 1241 situations)
Runner on 1B/2B: .747 wins (on 1092 situations)
Those numbers are 3 SD apart, so it seems that the second situation is a better situation for the batting team.
Runners on 2B/3B: .796 wins (on only 225 games)
Bases Loaded: .834 wins (on 610 games)
Note:
1B and 3B is .838 (on 419 games)
3B only is .831 (266 games)
So, it seems that whether you use my win probabilty numbers, or whether you use actual data, if you have a runner on 3B (in the bottom of the 9th and 1 out), it doesn’t matter if you have other runners on base. The win probability will be roughly the same (.83 or so). That loading the bases to get the force at any base is one of a series of parameters to consider, including the identities and abilities of the fielders themselves, and how the pitcher responds to such a situation.
All-in-all, it seems that the decision to walk or not walk was justifiable in either case.
There were a couple of unusual circumstances. Normally teams in this situation have their closer or set-up man pitching. In this case, the Rays had Tim Corcoran, who is far from either and who has had control issues.
Also, describing Thomas and Glaus as better hitters than Hill might be right in the general sense, and certainly over their careers, but in the particular context, it’s probably wrong. Both Thomas and Glaus have a superior ability to hit the long ball, which is of decidedly less value in this context than usual.